The correct answer to this open question is the following.
The name for the type of room shown above, and what was this type of room used for is the following. This is a room or a salon, a lavish setting for fashionable gatherings.
We are talking about a famous design in those years called Rococo Style. In arts, it is a style that was developed in Venetia, Italy, by painters such as Titian and Giorgione, creators of the Venetian School. This kind of interior design was improved by the School of Fontainebleau in 1528, whose most important artist was Rosso Florentino.